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Simplifying (5v + -8)(5v + -6) = 0 Reorder the terms: (-8 + 5v)(5v + -6) = 0 Reorder the terms: (-8 + 5v)(-6 + 5v) = 0 Multiply (-8 + 5v) * (-6 + 5v) (-8(-6 + 5v) + 5v * (-6 + 5v)) = 0 ((-6 * -8 + 5v * -8) + 5v * (-6 + 5v)) = 0 ((48 + -40v) + 5v * (-6 + 5v)) = 0 (48 + -40v + (-6 * 5v + 5v * 5v)) = 0 (48 + -40v + (-30v + 25v2)) = 0 Combine like terms: -40v + -30v = -70v (48 + -70v + 25v2) = 0 Solving 48 + -70v + 25v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + -5v)(8 + -5v) = 0Subproblem 1
Set the factor '(6 + -5v)' equal to zero and attempt to solve: Simplifying 6 + -5v = 0 Solving 6 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 0 + -6 -5v = 0 + -6 Combine like terms: 0 + -6 = -6 -5v = -6 Divide each side by '-5'. v = 1.2 Simplifying v = 1.2Subproblem 2
Set the factor '(8 + -5v)' equal to zero and attempt to solve: Simplifying 8 + -5v = 0 Solving 8 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 0 + -8 -5v = 0 + -8 Combine like terms: 0 + -8 = -8 -5v = -8 Divide each side by '-5'. v = 1.6 Simplifying v = 1.6Solution
v = {1.2, 1.6}
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